Natural Log of 10000

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What is ln 10,000?

Answer

ln 10,000 ≈
9.2103

ln is the natural log, base e ≈ 2.71828.

≈ — the logarithm is irrational; the value is rounded to 4 decimal places.

ln 10,000 is the power you raise e ≈ 2.71828 to, to get 10,000: ey = 10,000.

e⁹ ≈ 8,103.0839 < 10,000 < e¹⁰ ≈ 22,026.4658, so 9 < ln 10,000 < 10

Oxy

Answer point ≈ (10,000, 9.2103), beyond the drawing (the arrow points to it).

The curve y = ln x passes through (1, 0) and (e, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of 10,000 in different bases
BaseNotationValue
eln 10,000≈ 9.2103
10log 10,0004
2log₂ 10,000≈ 13.2877

See Also

Recalculate with different values ↑

Natural log of nearby numbers

xln x
50≈ 3.9120
60≈ 4.0943
100≈ 4.6052
1,000≈ 6.9078
1,380≈ 7.2298
9,297≈ 9.1374
10,000≈ 9.2103

FAQ

What is ln 10,000?

ln 10,000 ≈ 9.2103

What is the difference between ln 10,000 and log 10,000?

ln 10,000 is the logarithm to base e, log 10,000 is to base 10: ln 10,000 ≈ 9.2103, log 10,000 = 4. One is the other divided by ln 10: log 10,000 = ln 10,000 / ln 10 = 4.

What does log without a base mean?

At school and on a calculator, log x without a base is the common log, base 10: log 100 = 2. In Python, math.log(x) is the natural log ln x; in Excel, LN is the natural log and LOG is base 10.

See Also